Math 5090   (Dr. J. S. Zheng)


Office: Math-Phys 3306
Phone: (912)478 1338
E-mail: szheng at GeorgiaSouthern dot edu

 


   
    		My favorite equation

The universe is written in the language of mathematics (Galileo)

What is a net-invisible ElectroMagnetic field?

answer:
  • (a) a quantum-scholar?

  • (b) t.b.a.  
    
   


 \[ U_t+ \alpha \cdot \nabla U=\nu \Delta U+g(t,x,U)\]                              Gravitational-wave image Courtesy:Wiki

Mathematical physics with PDE gauge-interface.

Math-Physics lab simulations link

Schedule of the class
Class schedule by chapters/sections (tentative)
PDEs from physics; self-adjoint operators (Chapters 1)
Assignment 1 (homework/project)
Wave and diffusion equations, Fourier integrals (Chapter 2)
Separation of variables (Chapter 3)  
Fourier series (Chapter 4)
Assignment 2 (homework/project)
Laplace equation and solitons (Chapter 5)  
Green's function and distribution theory (Chapter 6)  
Assignment 3* (homework/project)  
Maxwell equations for magnetic field (Chapter 7*)  
Euler equation and fluids (Chapter 8*)  
Water wave model (Chapter 9*)  
Tensors and differential forms (Chapter 10*)  
*Numerical methods (Chapters 11*)
*Probabilistic method; statistical mechanics (Chapter 12*)
Final assignment)



Homework/Project assignments


Office hours   Monday and Wednesday 2:30-4:00 or by appointment


Important calendar dates


Review   Exam     Date  
Review Exam I     Assigment I
Review Exam II Assignment II
Review Exam III    Assignment III  
Review Final      Final assignment  


Computing Lab